What is the average velocity of the sulfur trioxide molecules in the gas phase at 25°C?
a. 9.6 m/s
b. 10.8 m/s
c. 340 m/s
d. 305 m/s
e. 258 m/s
root mean square speed = (3RT/M)1/2
where, R = ideal gas constant = 8.3145 (Kg.m2/sec2) / (K.mol)
T = absolute tempreture = 250C = 273.15 + 25 = 298.15 K
M = mass of mole of gas in kilogram = 80.066 gm/mol = 80.066 10-3 kg/mol
Substitute value in above equation
root mean square speed of H2 = [[3 (8.3145 (Kg.m2/sec2) / (K.mol)) (298.15 K)] / [(80.066 10-3 kg/mol)]]1/2
= [92884.676704 m2/s2]1/2
= 304.8 m/s
Answer - d. 305 m/s
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